Concept:Avogadro's Law states that equal volumes of all ideal gases at the same temperature and pressure contain the same number of molecules (or moles).
Formula:$$ V \propto n \quad \text{(at constant T and P)} $$
Solution:- Starting with the ideal gas equation: \( PV = nRT \)
- Rearranging for Volume (V): \( V = \frac{nRT}{P} \)
- For \( V \) to be directly proportional to \( n \) (Avogadro's Law), the terms \( R \), \( T \), and \( P \) must all be constant.
- Therefore, the expression \( V = \frac{RnT}{P} \) represents Avogadro's law strictly when Temperature (T) and Pressure (P) are constant.
Why other options are incorrect:- Option A: If \( n \) is constant, the relationship explores Boyle's or Charles's law, not Avogadro's.
- Option C: If \( n \) is constant, it is not Avogadro's law.
- Option D: The formula itself is mathematically incorrect derived from \( PV=nRT \).
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